Answer:
The interior angles of the parallelogram are either:
XXX
{
159
∘
,
21
∘
,
159
∘
,
21
∘
}
or
XXX
{
3
3
4
∘
,
176
1
4
∘
,
3
1
4
∘
,
176
1
4
∘
}
Explanation:
Case 1: The given relation applies to consecutive angles
Consecutive angles of a parallelogram add up to
180
∘
Let
a
and
b
be consecutive angles (measured in degrees) such that the given relation holds:
XXX
a
=
9
b
−
30
and since
a
+
b
=
180
→
b
=
180
−
a
XXX
a
=
9
(
180
−
a
)
−
30
=
1620
−
9
a
−
30
=
1590
−
9
a
XXX
10
a
=
1590
XXX
a
=
159
and
XXX
b
=
180
−
a
=
21
Case 2: The given relation applies to opposite angles
Opposite angles of a parallelogram are equal.
Let
a
be the measure (in degrees) of the referenced opposite angles (and
b
be the measure of the other two angles:
a
+
b
=
180
)
We are told
XXX
a
=
9
a
−
30
Therefore
XXX
−
8
a
=
−
30
XXX
a
=
3
3
4
XXX
b
=
180
−
a
=
176
1
4
Answer link
EZ as pi
Sep 25, 2016
The angles are
21
°
,
159
°
,
21
°
,
159
°
Explanation:
In a parallelogram, there are only two sizes of angle - two are acute and two are obtuse.
Opposite angles are equal .
Consecutive angles are supplementary because they are co-interior angle on parallel lines.
An additional solution to the one given by Alan P is using the fact that the sum of the interior angles of a parallelogram is 360°.
Let one angle be
x
The size of the other angle is given by
9
x
−
30
2
x
+
2
(
9
x
−
30
)
=
360
←
sum of the angles is 360°
2
x
+
18
x
−
60
=
360
20
x
=
420
x
=
21
°
The obtuse angles are each
180
−
21
=
159
°
The other option where the given angle is the opposite angle is described is well explained by Alan P.
Step-by-step explanation:
The interior angles of the parallelogram are 21° and 159° respectively.
What is parallelogram?
A parallelogram is defined as a quadrilateral in which both pairs of opposite sides are parallel and equal.
In a parallelogram opposite interior angles are equal and the angles on the same side of the traversal are supplementary (i.e) 180°
For the given situation,
The measure of one interior angle be [tex]x[/tex] and
Another angle was given as [tex]9x-30[/tex]°
⇒[tex]x+9x-30[/tex]°[tex]=180[/tex]°
⇒[tex]10x=180[/tex]°[tex]+30[/tex]°
⇒[tex]10x=210[/tex]°
On dividing [tex]10[/tex] on both sides,
⇒[tex]\frac{10x}{10}=\frac{210}{10}[/tex]
⇒[tex]x=21[/tex]°
So, another angle is [tex]9x-30[/tex] = [tex]9[/tex]×[tex]21-30[/tex]
⇒[tex]189-30[/tex]
⇒[tex]159[/tex]°
Hence we can conclude that the interior angles of the parallelogram are 21° and 159°.
Learn more about the interior angle of parallelogram here
https://brainly.com/question/8615842
#SPJ2
The cost of a jacket is reduced by 10 percent. The jacket now costs £81. What was the original price?
Answer:
$89.10
Step-by-step explanation:
All you have to do is multiply 81 by 1.10, which is equal to 89.10
Answer:
1.2051
Step-by-step explanation:
turn 81 eourpean it by 10%
Peter read 24 pages of a book, and Chelsea read 1/3 as many pages of the same book. How many pages did Chelsea read?
Answer:
8
Step-by-step explanation:
1/3 of 24 is 8 i hope this helps
Answer:
8
Step-by-step explanation:
PLEASE HELP ME!!
Write (1/9)^3 as a product of the same factor. Then find the value
Answer:
I hope this help
Step-by-step explanation:
i hope this help
The graph of function f is shown.
Use the zeros and the turning points
of the graph to find the rule for f.
Answer:plz give brainlyest i think it is
ither b or d would say d
A rectangular prism is filled with 356 cubes with an edge length of 1/4 what is the volume of this prism
Answer: volume = 5.5625 cubic units.
Step-by-step explanation:
A rectangular prism is filled with 356 cubes, then the volume of the prism will be equal to 356 times the volume of a single cube.
We know that for a cube with side length L, the volume is:
V = L^3
And we know that these small cubes have an edge length of 1/4 units.
Then the volume of each small cube is:
V = (1/4)^3 cubic units
V = (1/64) cubic units
And the volume of the prism will be 356 times that, then the volume of the prism is:
volume = 356*(1/64) cubic units
volume = 5.5625 cubic units.
If a x b = 2a - 3b + ab, then 3 x 5 + 5 x 3 is equal to?
A. 20
B. 22
C. 24
D. 26
Answer:
B. 22
Step-by-step explanation:
3 * 5 + 5 * 3 = (2 * 3 - 3 * 5 + 3 * 5) + ( 2 * 5 - 3 * 3 + 5 * 3)
= (6 + 10 - 9 + 15) = 22.
Answer:
B. 22
Step-by-step explanation:
The middle person in a row is the 18th, how many persons are in the row?
Answer:
35
Step-by-step explanation:
You have 17 either side to make 18 the middle e.g if 2 was the middle then you have 1 either side.
Answer:
36
Step-by-step explanation:
if 18 is the middle there are 17 on each side of that person so 17+17+1=36
I am multiple of 20 i have 3 digits my hundreds digit and tens digit add to make 9 half of me is less than 100 what am i
Answer:
180
Step-by-step explanation:
Given :
the number has three digits
it is multiple of 20
hundreds digit and tens digit add to make 9
half of it is less than 100.
I suppose 180 can correctly fit into all above criterions
It is 3 digit number. 1+8 =9, 180/2 =90 which is less than 100.
a triangle can be drawn with angle measure of 60 degrees, 60 degrees, and 70 degrees
true or false?
Answer:
False. All triangles must have a total of 180°. 60° + 60° + 70° = 190°.
please answer the questions that are attached will give extra points!
HELP PLSS!!!!!!! WILL MARK BRAINLIEST!!!!!!!!!!
Answer:
24 percent
Step-by-step explanation:
(a) Expand 5(2m - 3)
Answer:
10m - 15
Step-by-step explanation:
5(2m - 3) = 10m - 15
Step-by-step explanation:
10m-15
times what ever is outside the brackets by the numbers in the brackets
(5*2m minus 5*3)
find the coordinates of the point p that divides the directed line segment from A(-1,-4) to B (6,10) in ratio of 2 to 5
Answer:
bo0by
Step-by-step explanation:
If the perimeter of a rectangular picture frame must be less that 200 in, and the width is 36 in. what must the height H of the frame be?
Answer:
w = width
h = height
2(w+h) < 200
w + h < 100
since w = 36, then
36 + h < 100
h < 100 - 36
h < 64
Step-by-step explanation:
The perimeter of the rectangular picture frame can be calculated by the equation,
2h + 2w = P
where h and w are height and width , respectively. Substituting the known values and the condition for the inequality,
2h + 2(36 in) < 200
The inequality gives h as,
h < 64
Thus, the answer is letter A.
help please i’m failing math hardcore
Answer: radius- 2; height- 3
Step-by-step explanation:
radius 2 height 3 is what I got. not completely sure tho. hoped this helped :)
Find the slope of the line above.
m =?
What are the solution(s) to the quadratic equation 40 - x2 = 0?
x = +2/10
x = +4/10
O x= +2/5
x = +4,5
Answer:
±2√10
Step-by-step explanation:
Given the equation 40 - x^2 = 0
Add x^2 to both sides
40 - x^2 + x^2 = 0+ x^2
40 = x^2
x^2 = 40
x = ±√40
x = ±√4 * √10
x = ±2√10
Hence the value of x is ±2√10
A large chocolate bunny costs $2.07. Chris only has $1.12. How much more money does Chris need in order to buy the bunny?
Answer
0.95 more cents
Step-by-step explanation:
2.07-1.12=0.95
PLEASSEE HELP ASAP HURRRY!!!!!!!!!!!
Which of the following statements is TRUE based on the information given?
Answer:
it is d
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
4x^2 - 5x when x = 3
^ is squared
Answer:
-5
Step-by-step explanation:
2. If 8.67 is rounded to tenth, 8.67 becomes
A. 8.00
B. 8.7
C. 8.60
D. 86.0
2.64
Answer:
b. 8.7
Step-by-step explanation:
7 rounds up turning the 6 besides it into a 7.
Answer:
B. 8.7
Step-by-step explanation:
When lliking at 8.67 you see that the 6 (in the tenths place) is above five, any number above five, you found so then you round it to 7. if it's 4 or below you round down.
You want to surround the perimeter of a garden with 35 stones. You need to place a certain number of large and small stones and every large stone you want to use 4 small stones. Choose the correct equation to find the number of stones for each size
Answer:
The answer is "x + 4x = 35; 7 large stones and 28 small stones"
Step-by-step explanation:
Please find the complete question in the attached file.
Let
[tex]x = \text{big stone number}\\\\y = \text{tiny stone number}\\\\x + y= 35[/tex]
Users want to use four small stones for each big stone:
[tex]Y = 4x[/tex]
solving the equations system:
[tex]x + y = 35\\\\y = 4x[/tex]
we find:
[tex]x = 7 \ \text{for big stones}\\\\y = 28\ \text{for tiny stones}\\\\[/tex]
A quarter cone has a diameter of 16 and a height of 10. What is the approximate volume of the quarter cone? Round to the nearest tenth where necessary.
Answer:
167.6 units^3
Step-by-step explanation:
Find the volume of the entire cone, and then divide the result by 4 to obtain the volume of the quarter cone:
Formula for the volume of a cone is V = (1/3)(base area)(height)
In this case the volume of the entire cone is V = (1/3)(pi)(8)^2*(10), or
670.21.
Taking 1/4 of this, we get the volume of the quarter cone:
670.21/4 = 167.6 units^3
Which of the values in the set {3,4,5,6} is a solution to the equation 4x + 2 = 22?
A) 3
B)4
C)5
D)6
Aidan took a 1020 km trip, travelling by Bus and By Train. The bus travelled at 105 km/h, and the train travelled at 160 km/h. The whole trip took 8 Hours. How Far did he travel on the train? Solve algebraically, and round your final answer to one decimal place.
Answer:
523.6 km
Step-by-step explanation:
Let x represent the distance traveled by train. Then 1020-x is the distance traveled by bus. The travel times are given by the relation ...
time = distance/speed
Then the total travel time in hours is ...
x/160 +(1020-x)/105 = 8
21x +32640 -32x = 26880 . . . . . multiply by 3360
5760 = 11x . . . . . . . . . add 11x -26880
523.6 ≈ x . . . . . . . . . . divide by 11
Aidan traveled about 523.6 km by train.
The large and medium shapes are scale drawings of the smallest shape the scale factor from the large shape to the media shape is 65% the scale factor from the medium shape to the small shape is 40% what is the scale factor from the large shape to the small shape
Answer:
25
Step-by-step explanation:
Add 65+40 which is going to give you 105 then once you get 105 subtract 65-40 which is going to give you 25 the 105 is the total so the whole answer is 25
Help!!
What is the relationship between the corresponding angle bisectors BD and XZ?
Answer:
XZ = 2.5 BD
Step-by-step explanation:
Comparing the two triangles,
[tex]\frac{BD}{BC}[/tex] = [tex]\frac{XZ}{XY}[/tex]
[tex]\frac{6}{8}[/tex] = [tex]\frac{XZ}{20}[/tex]
⇒ XZ = [tex]\frac{20*6}{8}[/tex]
= 15
XZ = 15
So that,
BD:XZ = 6:15
= 1:2.5
Therefore, the relationship between BD and XZ is XZ = 2.5 BD.
A circular pool at a water treatment facility has a radius of 6 meters. Approximately how long is the outer rim of the pool? (Use 3.14 for π.)
a. 40 m b. 60 m c.80 m d.160m
Answer:
Step-by-step explanation:
length of outer rim = circumference = 2π(radius) = 12π meters ≅ 37.68 meters
So none of the choices is correct.
Witch of the s-values satisfy the following inequality?
7-s/2>3
Choose all answers that apply:
A 8 = 6
B 8 =8
C 8= 10
Answer:
the possible answer would be A, 6.
Step-by-step explanation:
6/2 is equal to 3 wholes. 7 minus 3 is 4. the sign > is used to indicate that the left number is greater than the right number, which is 3. 4 > 3 would be shown. this means that 6, or A, is the answer! :)
(6 IS ALSO THE ONLY OPTION. I NOTICED IT SAYS “ALL ANSWERS“
please help‼️
what’s the perimeter of a rectangle with 6x+10 as it’s width and 4x+1 as it’s length
Answer:
the equation will be 2(6x+10+4x+1)
simplified to
12x+20+8x+2
simplified to
20x+22
The perimeter of the rectangle will be 20x+22
Thank you, Hope it helps
Answer: The length of both sides would be 12x+20 and the width of both sides would be 8x+2, so the perimeter of the rectangle would be 20x+22